(0) Obligation:
Need to prove time_complexity of the following program:
/**
* Example taken from "A Term Rewriting Approach to the Automated Termination
* Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
* and converted to Java.
*/
public class PastaA9 {
public static void main(String[] args) {
Random.args = args;
int x = Random.random();
int y = Random.random();
int z = Random.random();
if (y > 0) {
while (x >= z) {
z += y;
}
}
}
}
public class Random {
static String[] args;
static int index = 0;
public static int random() {
String string = args[index];
index++;
return string.length();
}
}
(1) JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Constructed TerminationGraph.
(2) Obligation:
Termination Graph based on JBC Program:
PastaA9.main([Ljava/lang/String;)V: Graph of 238 nodes with 1 SCC.
(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)
Extracted set of 89 edges for the analysis of TIME complexity. Dropped leaves.
(4) Obligation:
Set of 89 edges based on JBC Program.
Performed SCC analyses:
- Used field analysis yielded the following read fields:
Considered paths: all paths from start
(5) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)
Transformed 89 jbc graph edges to a weighted ITS with 89 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.
(6) Obligation:
IntTrs with 89 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_33(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_34(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_34(o1, env, static) -{1,1}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 < o1
main_Load_50(o1, env, static) -{1,1}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> main_FieldAccess_55(o1, env, static) :|: 0 < o1
main_FieldAccess_55(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_57(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_59(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_59(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_61(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_61(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_111(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_111(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_120(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_120(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_125(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_156(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_156(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_197(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_197(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_211(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_211(o53, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) :|: 0 <= o53 && 2 <= i12 && 0 < a6 && 0 < o53 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_271(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && i22 <= o53 && 0 <= i22 && 0 < o53 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_271(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_299(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_299(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) :|: 0 <= a6 && 2 <= i12 && a6 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_324(a6, iconst_2, i8, i22, i12, env, static) :|: -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_324(a6, iconst_2, i8, i22, i34, env, static) -{0,0}> random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) :|: 2 <= i34 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) -{1,1}> random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && o95 < a6 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) -{1,1}> random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) -{1,1}> random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static') :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_InvokeMethod_356(o95, a6, i8, i22, iconst_3, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_356(o191, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && i89 <= o191 && 0 <= i89 && 0 <= i22 && 0 < a6 && 0 < o191 && 3 <= i34 && 0 <= i8
random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) -{1,1}> main_LE_377(a6, i22, i8, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, i98, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) :|: 1 <= i98 && 0 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 < i98 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) -{1,1}> main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) -{1,1}> main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) -{1,1}> main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8 && i89 + i98 = i101
main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) -{1,1}> main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) -{1,1}> main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) -{0,0}> main_Load_387(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i101 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
(7) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o1,
env,
static) -{61,61}>
main_Load_387(
o1,
i8',
i22',
i89',
3,
i4',
env,
static'6) :|:
0 <=
o95' &&
0 <=
i8' &&
static'6 <=
static'5 +
3 &&
3 <=
i4' &&
static'4 <=
static'3 +
1 &&
0 <
o1 &&
0 <
1 &&
0 <=
i89' &&
0 <=
o8' &&
0 <
i22' &&
o25' <
o1 &&
1 <=
i22' &&
0 <
o25' &&
2 <=
i4' &&
0 <=
static'5 &&
0 <=
1 &&
o1 <=
static'5 &&
1 <=
static'4 &&
0 <=
o1 &&
i22' <=
o25' &&
0 <=
i4' &&
-1 *
static'4 <=
1 &&
0 <=
static'3 &&
0 <
2 &&
0 <=
static''' &&
0 <=
static &&
static'3 <=
static'2 +
o1 &&
0 <=
static'1 &&
static''' <=
static +
2 &&
o1 <=
static'3 &&
static'2 <=
static'1 +
0 &&
-1 *
static'3 <=
0 &&
0 <
o8' &&
i8' <=
o8' &&
0 <=
static'2 &&
0 <=
static'4 &&
o1 <=
static'4 &&
o8' <
o1 &&
-1 *
static'5 <=
2 &&
0 <=
o25' &&
i89' <=
o95' &&
2 <=
static'5 &&
o95' <
o1 &&
0 <=
i22' &&
0 <=
2 &&
static'1 <=
static''' +
1 &&
0 <
o95' &&
i4' <
o1 &&
static'5 <=
static'4 +
2 &&
1 <=
i4'by chaining
main_Load_1(
o1,
env,
static) -{0,0}>
main_Load_4(
o1,
env,
static) :|:
0 <
o1main_Load_4(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_14(
iconst_0,
o1,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ArrayCreate_14(
iconst_0,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_16(
a2,
o1,
iconst_0,
env,
static) :|:
a2 =
2 &&
iconst_0 =
0 &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_FieldAccess_16(
a2,
o1,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_17(
o1,
env,
static') :|:
0 <=
a2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_New_17(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_19(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_New_19(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_20(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1langle_clinit_rangle_New_20(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_21(
o4,
o1,
env,
static) :|:
o4 =
1 &&
0 <
o4 &&
0 <
o1langle_clinit_rangle_Duplicate_21(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_24(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_24(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_26(
o4,
NULL,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o4 &&
0 <
o1langle_clinit_rangle_InvokeMethod_26(
o4,
NULL,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_27(
o4,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o4 &&
0 <
o1langle_init_rangle_Load_27(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_28(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_InvokeMethod_28(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_29(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Load_29(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_30(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_InvokeMethod_30(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_31(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Return_31(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_32(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Return_32(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_33(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_clinit_rangle_FieldAccess_33(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Return_34(
o1,
env,
static') :|:
0 <=
o4 &&
0 <
o4 &&
0 <=
static &&
0 <
o1 &&
static' <=
static +
o4langle_clinit_rangle_Return_34(
o1,
env,
static) -{1,1}>
main_Load_42(
o1,
env,
static) :|:
0 <
o1main_Load_42(
o1,
env,
static) -{0,0}>
main_Load_44(
o1,
env,
static) :|:
0 <
o1main_Load_44(
o1,
env,
static) -{0,0}>
main_Load_47(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1main_Load_47(
o1,
env,
static) -{0,0}>
main_Load_49(
o1,
env,
static) :|:
0 <
o1main_Load_49(
o1,
env,
static) -{0,0}>
main_Load_50(
o1,
env,
static) :|:
0 <
o1main_Load_50(
o1,
env,
static) -{1,1}>
main_FieldAccess_53(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_53(
o1,
env,
static) -{0,0}>
main_FieldAccess_55(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_55(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_57(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_57(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_59(
iconst_0,
o1,
NULL,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_FieldAccess_59(
iconst_0,
o1,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_61(
o1,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0 &&
0 <
o1langle_clinit_rangle_Return_61(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_64(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1main_FieldAccess_64(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_65(
o1,
iconst_0,
env,
static') :|:
static' <=
static +
o1 &&
NULL =
0 &&
0 <=
o1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1main_InvokeMethod_65(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_66(
o1,
iconst_0,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1random_FieldAccess_66(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_67(
o1,
iconst_0,
env,
static) :|:
0 <=
o1 &&
o1 <=
static &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1random_FieldAccess_67(
o1,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_69(
o1,
iconst_0,
env,
static) :|:
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
static &&
0 <
o1random_ArrayAccess_69(
a6,
iconst_0,
env,
static) -{0,0}>
random_ArrayAccess_70(
a6,
iconst_0,
i4,
env,
static) :|:
0 <=
i4 &&
iconst_0 =
0 &&
0 <
a6 &&
i4 <
a6random_ArrayAccess_70(
a6,
iconst_0,
i6,
env,
static) -{0,0}>
random_ArrayAccess_74(
a6,
iconst_0,
i6,
env,
static) :|:
0 <=
i6 &&
1 <=
i6 &&
iconst_0 =
0 &&
0 <
a6random_ArrayAccess_74(
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_Store_78(
o8,
a6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
o8 <
a6 &&
iconst_0 =
0 &&
0 <
a6random_Store_78(
o8,
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_FieldAccess_80(
o8,
a6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_0 =
0 &&
0 <
a6random_FieldAccess_80(
o8,
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_ConstantStackPush_85(
iconst_0,
o8,
a6,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
a6 &&
iconst_0 <=
staticrandom_ConstantStackPush_85(
iconst_0,
o8,
a6,
i6,
env,
static) -{1,1}>
random_IntArithmetic_88(
iconst_0,
iconst_1,
o8,
a6,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6random_IntArithmetic_88(
iconst_0,
iconst_1,
o8,
a6,
i6,
env,
static) -{1,1}>
random_FieldAccess_90(
iconst_1,
o8,
a6,
iconst_0,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <
a6random_FieldAccess_90(
iconst_1,
o8,
a6,
iconst_0,
i6,
env,
static) -{1,1}>
random_Load_95(
o8,
a6,
iconst_1,
i6,
env,
static') :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
a6 &&
static' <=
static +
iconst_1random_Load_95(
o8,
a6,
iconst_1,
i6,
env,
static) -{1,1}>
random_InvokeMethod_111(
o8,
a6,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
0 <=
o8 &&
iconst_1 =
1 &&
0 <
a6random_InvokeMethod_111(
o13,
a6,
iconst_1,
i6,
env,
static) -{0,0}>
random_InvokeMethod_114(
o13,
a6,
iconst_1,
i6,
env,
static) :|:
0 <
o13 &&
1 <=
i6 &&
iconst_1 =
1 &&
0 <=
o13 &&
0 <
a6random_InvokeMethod_114(
o13,
a6,
iconst_1,
i6,
env,
static) -{1,1}>
random_Return_120(
i8,
a6,
iconst_1,
i6,
env,
static) :|:
i8 <=
o13 &&
0 <
o13 &&
1 <=
i6 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8random_Return_120(
i8,
a6,
iconst_1,
i6,
env,
static) -{1,1}>
main_Store_125(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8main_Store_125(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
main_InvokeMethod_130(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8main_InvokeMethod_130(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
random_FieldAccess_137(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
1 <=
i6 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8random_FieldAccess_137(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
random_FieldAccess_141(
a6,
i8,
iconst_1,
i6,
env,
static) :|:
0 <=
a6 &&
1 <=
i6 &&
iconst_1 =
1 &&
a6 <=
static &&
0 <=
static &&
0 <
a6 &&
0 <=
i8random_FieldAccess_141(
a6,
i8,
iconst_1,
i6,
env,
static) -{1,1}>
random_ArrayAccess_143(
a6,
iconst_1,
i8,
i6,
env,
static) :|:
-1 *
static <=
iconst_1 &&
1 <=
i6 &&
iconst_1 <=
static &&
iconst_1 =
1 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8random_ArrayAccess_143(
a6,
iconst_1,
i8,
i12,
env,
static) -{0,0}>
random_ArrayAccess_147(
a6,
iconst_1,
i8,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
1 <=
i12random_ArrayAccess_147(
a6,
iconst_1,
i8,
i12,
env,
static) -{1,1}>
random_Store_156(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
o25 <
a6 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_Store_156(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) -{1,1}>
random_FieldAccess_160(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_FieldAccess_160(
o25,
a6,
i8,
iconst_1,
i12,
env,
static) -{1,1}>
random_ConstantStackPush_167(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) :|:
-1 *
static <=
iconst_1 &&
2 <=
i12 &&
iconst_1 <=
static &&
iconst_1 =
1 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_ConstantStackPush_167(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) -{1,1}>
random_IntArithmetic_186(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25random_IntArithmetic_186(
iconst_1,
o25,
a6,
i8,
i12,
env,
static) -{1,1}>
random_FieldAccess_189(
iconst_2,
o25,
a6,
i8,
iconst_1,
i12,
env,
static) :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25 &&
iconst_2 =
2random_FieldAccess_189(
iconst_2,
o25,
a6,
i8,
iconst_1,
i12,
env,
static) -{1,1}>
random_Load_197(
o25,
a6,
i8,
iconst_2,
i12,
env,
static') :|:
2 <=
i12 &&
iconst_1 =
1 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25 &&
iconst_2 =
2 &&
static' <=
static +
iconst_2random_Load_197(
o25,
a6,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
random_InvokeMethod_211(
o25,
a6,
i8,
iconst_2,
i12,
env,
static) :|:
2 <=
i12 &&
0 <
a6 &&
0 <=
i8 &&
0 <=
o25 &&
iconst_2 =
2random_InvokeMethod_211(
o53,
a6,
i8,
iconst_2,
i12,
env,
static) -{0,0}>
random_InvokeMethod_256(
o53,
a6,
i8,
iconst_2,
i12,
env,
static) :|:
0 <=
o53 &&
2 <=
i12 &&
0 <
a6 &&
0 <
o53 &&
0 <=
i8 &&
iconst_2 =
2random_InvokeMethod_256(
o53,
a6,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
random_Return_271(
i22,
a6,
i8,
iconst_2,
i12,
env,
static) :|:
2 <=
i12 &&
i22 <=
o53 &&
0 <=
i22 &&
0 <
o53 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_Return_271(
i22,
a6,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
main_Store_299(
a6,
i22,
i8,
iconst_2,
i12,
env,
static) :|:
2 <=
i12 &&
0 <=
i22 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2main_Store_299(
a6,
i22,
i8,
iconst_2,
i12,
env,
static) -{1,1}>
main_InvokeMethod_309(
a6,
i8,
i22,
iconst_2,
i12,
env,
static) :|:
2 <=
i12 &&
0 <=
i22 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2main_InvokeMethod_309(
a6,
i8,
i22,
iconst_2,
i12,
env,
static) -{1,1}>
random_FieldAccess_314(
a6,
i8,
i22,
iconst_2,
i12,
env,
static) :|:
2 <=
i12 &&
0 <=
i22 &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_FieldAccess_314(
a6,
i8,
i22,
iconst_2,
i12,
env,
static) -{1,1}>
random_FieldAccess_321(
a6,
i8,
i22,
iconst_2,
i12,
env,
static) :|:
0 <=
a6 &&
2 <=
i12 &&
a6 <=
static &&
0 <=
i22 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_FieldAccess_321(
a6,
i8,
i22,
iconst_2,
i12,
env,
static) -{1,1}>
random_ArrayAccess_324(
a6,
iconst_2,
i8,
i22,
i12,
env,
static) :|:
-1 *
static <=
iconst_2 &&
2 <=
i12 &&
iconst_2 <=
static &&
0 <=
i22 &&
0 <=
static &&
0 <
a6 &&
0 <=
i8 &&
iconst_2 =
2random_ArrayAccess_324(
a6,
iconst_2,
i8,
i22,
i34,
env,
static) -{0,0}>
random_ArrayAccess_329(
a6,
iconst_2,
i8,
i22,
i34,
env,
static) :|:
2 <=
i34 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8 &&
iconst_2 =
2random_ArrayAccess_329(
a6,
iconst_2,
i8,
i22,
i34,
env,
static) -{1,1}>
random_Store_334(
o95,
a6,
i8,
i22,
iconst_2,
i34,
env,
static) :|:
0 <=
o95 &&
o95 <
a6 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8 &&
iconst_2 =
2random_Store_334(
o95,
a6,
i8,
i22,
iconst_2,
i34,
env,
static) -{1,1}>
random_FieldAccess_337(
o95,
a6,
i8,
i22,
iconst_2,
i34,
env,
static) :|:
0 <=
o95 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8 &&
iconst_2 =
2random_FieldAccess_337(
o95,
a6,
i8,
i22,
iconst_2,
i34,
env,
static) -{1,1}>
random_ConstantStackPush_342(
iconst_2,
o95,
a6,
i8,
i22,
i34,
env,
static) :|:
0 <=
o95 &&
-1 *
static <=
iconst_2 &&
iconst_2 <=
static &&
0 <=
i22 &&
0 <=
static &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8 &&
iconst_2 =
2random_ConstantStackPush_342(
iconst_2,
o95,
a6,
i8,
i22,
i34,
env,
static) -{1,1}>
random_IntArithmetic_346(
iconst_2,
iconst_1,
o95,
a6,
i8,
i22,
i34,
env,
static) :|:
0 <=
o95 &&
iconst_1 =
1 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8 &&
iconst_2 =
2random_IntArithmetic_346(
iconst_2,
iconst_1,
o95,
a6,
i8,
i22,
i34,
env,
static) -{1,1}>
random_FieldAccess_348(
iconst_3,
o95,
a6,
i8,
i22,
iconst_2,
i34,
env,
static) :|:
0 <=
o95 &&
iconst_3 =
3 &&
iconst_1 =
1 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8 &&
iconst_2 =
2random_FieldAccess_348(
iconst_3,
o95,
a6,
i8,
i22,
iconst_2,
i34,
env,
static) -{1,1}>
random_Load_352(
o95,
a6,
i8,
i22,
iconst_3,
i34,
env,
static') :|:
0 <=
o95 &&
iconst_3 =
3 &&
0 <=
i22 &&
0 <=
static &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8 &&
iconst_2 =
2 &&
static' <=
static +
iconst_3random_Load_352(
o95,
a6,
i8,
i22,
iconst_3,
i34,
env,
static) -{1,1}>
random_InvokeMethod_356(
o95,
a6,
i8,
i22,
iconst_3,
i34,
env,
static) :|:
0 <=
o95 &&
iconst_3 =
3 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8random_InvokeMethod_356(
o191,
a6,
i8,
i22,
iconst_3,
i34,
env,
static) -{0,0}>
random_InvokeMethod_359(
o191,
a6,
i8,
i22,
iconst_3,
i34,
env,
static) :|:
iconst_3 =
3 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <
o191 &&
0 <=
i8 &&
0 <=
o191random_InvokeMethod_359(
o191,
a6,
i8,
i22,
iconst_3,
i34,
env,
static) -{1,1}>
random_Return_364(
i89,
a6,
i8,
i22,
iconst_3,
i34,
env,
static) :|:
iconst_3 =
3 &&
i89 <=
o191 &&
0 <=
i89 &&
0 <=
i22 &&
0 <
a6 &&
0 <
o191 &&
3 <=
i34 &&
0 <=
i8random_Return_364(
i89,
a6,
i8,
i22,
iconst_3,
i34,
env,
static) -{1,1}>
main_Store_369(
a6,
i89,
i8,
i22,
iconst_3,
i34,
env,
static) :|:
iconst_3 =
3 &&
0 <=
i89 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8main_Store_369(
a6,
i89,
i8,
i22,
iconst_3,
i34,
env,
static) -{1,1}>
main_Load_373(
a6,
i8,
i22,
i89,
iconst_3,
i34,
env,
static) :|:
iconst_3 =
3 &&
0 <=
i89 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8main_Load_373(
a6,
i8,
i22,
i89,
iconst_3,
i34,
env,
static) -{1,1}>
main_LE_377(
a6,
i22,
i8,
i89,
iconst_3,
i34,
env,
static) :|:
iconst_3 =
3 &&
0 <=
i89 &&
0 <=
i22 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8main_LE_377(
a6,
i98,
i8,
i89,
iconst_3,
i34,
env,
static) -{0,0}>
main_LE_383(
a6,
i98,
i8,
i89,
iconst_3,
i34,
env,
static) :|:
1 <=
i98 &&
0 <=
i98 &&
iconst_3 =
3 &&
0 <=
i89 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8main_LE_383(
a6,
i98,
i8,
i89,
iconst_3,
i34,
env,
static) -{1,1}>
main_Load_387(
a6,
i8,
i98,
i89,
iconst_3,
i34,
env,
static) :|:
1 <=
i98 &&
iconst_3 =
3 &&
0 <
i98 &&
0 <=
i89 &&
0 <
a6 &&
3 <=
i34 &&
0 <=
i8obtained
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{8,8}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: i89 <= i8 && 0 <= i8 && 1 <= i101' && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && 0 <= i89 && i89 + i98 = i101'
by chaining
main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) -{1,1}> main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) -{1,1}> main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) -{1,1}> main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8 && i89 + i98 = i101
main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) -{1,1}> main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) -{1,1}> main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) -{0,0}> main_Load_387(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i101 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
(8) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{61,61}> main_Load_387(o1, i8', i22', i89', 3, i4', env, static'6) :|: 0 <= o95' && 0 <= i8' && static'6 <= static'5 + 3 && 3 <= i4' && static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= i89' && 0 <= o8' && 0 < i22' && o25' < o1 && 1 <= i22' && 0 < o25' && 2 <= i4' && 0 <= static'5 && 0 <= 1 && o1 <= static'5 && 1 <= static'4 && 0 <= o1 && i22' <= o25' && 0 <= i4' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && 0 < o8' && i8' <= o8' && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && o8' < o1 && -1 * static'5 <= 2 && 0 <= o25' && i89' <= o95' && 2 <= static'5 && o95' < o1 && 0 <= i22' && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && i4' < o1 && static'5 <= static'4 + 2 && 1 <= i4'
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{8,8}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: i89 <= i8 && 0 <= i8 && 1 <= i101' && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && 0 <= i89 && i89 + i98 = i101'
(9) WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID) transformation)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:
main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_387(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_387(x1, x2, x3, x4, x6)
(10) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{61,61}> main_Load_387(o1, i8', i22', i89', i4') :|: 0 <= o95' && 0 <= i8' && static'6 <= static'5 + 3 && 3 <= i4' && static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= i89' && 0 <= o8' && 0 < i22' && o25' < o1 && 1 <= i22' && 0 < o25' && 2 <= i4' && 0 <= static'5 && 0 <= 1 && o1 <= static'5 && 1 <= static'4 && 0 <= o1 && i22' <= o25' && 0 <= i4' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && 0 < o8' && i8' <= o8' && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && o8' < o1 && -1 * static'5 <= 2 && 0 <= o25' && i89' <= o95' && 2 <= static'5 && o95' < o1 && 0 <= i22' && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && i4' < o1 && static'5 <= static'4 + 2 && 1 <= i4'
main_Load_387(a6, i8, i98, i89, i34) -{8,8}> main_Load_387(a6, i8, i98, i101', i34) :|: i89 <= i8 && 0 <= i8 && 1 <= i101' && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && 0 <= i89 && i89 + i98 = i101'
(11) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
main_Load_387(a6, i8, i98, i89, i34) -{8,8}> main_Load_387(a6, i8, i98, i101', i34) :|: i89 <= i8 && 0 <= i8 && 1 <= i101' && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && 0 <= i89 && i89 + i98 = i101'
was transformed to
main_Load_387(a6, i8, i98, i89, i34) -{8,8}> main_Load_387(a6, i8, i98, i89 + i98, i34) :|: i89 <= i8 && 0 <= i8 && 1 <= i101' && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && 0 <= i89 && i89 + i98 = i101'
(12) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_387(a6, i8, i98, i89, i34) -{8,8}> main_Load_387(a6, i8, i98, i89 + i98, i34) :|: i89 <= i8 && 0 <= i8 && 1 <= i101' && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && 0 <= i89 && i89 + i98 = i101'
main_Load_1(o1, static) -{61,61}> main_Load_387(o1, i8', i22', i89', i4') :|: 0 <= o95' && 0 <= i8' && static'6 <= static'5 + 3 && 3 <= i4' && static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= i89' && 0 <= o8' && 0 < i22' && o25' < o1 && 1 <= i22' && 0 < o25' && 2 <= i4' && 0 <= static'5 && 0 <= 1 && o1 <= static'5 && 1 <= static'4 && 0 <= o1 && i22' <= o25' && 0 <= i4' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && 0 < o8' && i8' <= o8' && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && o8' < o1 && -1 * static'5 <= 2 && 0 <= o25' && i89' <= o95' && 2 <= static'5 && o95' < o1 && 0 <= i22' && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && i4' < o1 && static'5 <= static'4 + 2 && 1 <= i4'
(13) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
main_Load_1(o1, static) -{61,61}> main_Load_387(o1, i8', i22', i89', i4') :|: 0 <= o95' && 0 <= i8' && static'6 <= static'5 + 3 && 3 <= i4' && static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= i89' && 0 <= o8' && 0 < i22' && o25' < o1 && 1 <= i22' && 0 < o25' && 2 <= i4' && 0 <= static'5 && 0 <= 1 && o1 <= static'5 && 1 <= static'4 && 0 <= o1 && i22' <= o25' && 0 <= i4' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && 0 < o8' && i8' <= o8' && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && o8' < o1 && -1 * static'5 <= 2 && 0 <= o25' && i89' <= o95' && 2 <= static'5 && o95' < o1 && 0 <= i22' && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && i4' < o1 && static'5 <= static'4 + 2 && 1 <= i4'
was transformed to
main_Load_1(o1, static) -{61,61}> main_Load_387(o1, i8', i22', i89', i4') :|: 0 <= i8' && static'6 <= static'5 + 3 && 3 <= i4' && static'4 <= static'3 + 1 && 0 < o1 && 0 <= i89' && 0 < i22' && o25' < o1 && 1 <= i22' && 0 < o25' && 2 <= i4' && 0 <= static'5 && o1 <= static'5 && 1 <= static'4 && i22' <= o25' && 0 <= i4' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && 0 < o8' && i8' <= o8' && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && o8' < o1 && -1 * static'5 <= 2 && i89' <= o95' && 2 <= static'5 && o95' < o1 && static'1 <= static''' + 1 && 0 < o95' && i4' < o1 && static'5 <= static'4 + 2 && 1 <= i4'
(14) Obligation:
IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_387(a6, i8, i98, i89, i34) -{8,8}> main_Load_387(a6, i8, i98, i89 + i98, i34) :|: i89 <= i8 && 0 <= i8 && 1 <= i101' && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && 0 <= i89 && i89 + i98 = i101'
main_Load_1(o1, static) -{61,61}> main_Load_387(o1, i8', i22', i89', i4') :|: 0 <= i8' && static'6 <= static'5 + 3 && 3 <= i4' && static'4 <= static'3 + 1 && 0 < o1 && 0 <= i89' && 0 < i22' && o25' < o1 && 1 <= i22' && 0 < o25' && 2 <= i4' && 0 <= static'5 && o1 <= static'5 && 1 <= static'4 && i22' <= o25' && 0 <= i4' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && 0 < o8' && i8' <= o8' && 0 <= static'2 && 0 <= static'4 && o1 <= static'4 && o8' < o1 && -1 * static'5 <= 2 && i89' <= o95' && 2 <= static'5 && o95' < o1 && static'1 <= static''' + 1 && 0 < o95' && i4' < o1 && static'5 <= static'4 + 2 && 1 <= i4'
(15) koat Proof (EQUIVALENT transformation)
YES(?, 8*ar_0 + 61)
Initial complexity problem:
1: T:
(Comp: ?, Cost: 8) main_Load_387(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_387(ar_0, ar_1, ar_2, ar_3 + ar_2, ar_4)) [ ar_3 <= ar_1 /\ 0 <= ar_1 /\ 1 <= i101' /\ 3 <= ar_4 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= i101' /\ 0 <= ar_3 /\ ar_3 + ar_2 = i101' ]
(Comp: ?, Cost: 61) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_387(ar_0, i8', i22', i89', i4')) [ 0 <= i8' /\ static'6 <= static'5 + 3 /\ 3 <= i4' /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i89' /\ 0 < i22' /\ o25' < ar_0 /\ 1 <= i22' /\ 0 < o25' /\ 2 <= i4' /\ 0 <= static'5 /\ ar_0 <= static'5 /\ 1 <= static'4 /\ i22' <= o25' /\ 0 <= i4' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ 0 < o8' /\ i8' <= o8' /\ 0 <= static'2 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ -static'5 <= 2 /\ i89' <= o95' /\ 2 <= static'5 /\ o95' < ar_0 /\ static'1 <= static''' + 1 /\ 0 < o95' /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 8) main_Load_387(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_387(ar_0, ar_1, ar_2, ar_3 + ar_2, ar_4)) [ ar_3 <= ar_1 /\ 0 <= ar_1 /\ 1 <= i101' /\ 3 <= ar_4 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= i101' /\ 0 <= ar_3 /\ ar_3 + ar_2 = i101' ]
(Comp: 1, Cost: 61) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_387(ar_0, i8', i22', i89', i4')) [ 0 <= i8' /\ static'6 <= static'5 + 3 /\ 3 <= i4' /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i89' /\ 0 < i22' /\ o25' < ar_0 /\ 1 <= i22' /\ 0 < o25' /\ 2 <= i4' /\ 0 <= static'5 /\ ar_0 <= static'5 /\ 1 <= static'4 /\ i22' <= o25' /\ 0 <= i4' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ 0 < o8' /\ i8' <= o8' /\ 0 <= static'2 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ -static'5 <= 2 /\ i89' <= o95' /\ 2 <= static'5 /\ o95' < ar_0 /\ static'1 <= static''' + 1 /\ 0 < o95' /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
A polynomial rank function with
Pol(main_Load_387) = V_2 - V_4 + 1
Pol(main_Load_1) = V_1
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_387(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_387(ar_0, ar_1, ar_2, ar_3 + ar_2, ar_4)) [ ar_3 <= ar_1 /\ 0 <= ar_1 /\ 1 <= i101' /\ 3 <= ar_4 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= i101' /\ 0 <= ar_3 /\ ar_3 + ar_2 = i101' ]
strictly and produces the following problem:
3: T:
(Comp: ar_0, Cost: 8) main_Load_387(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_387(ar_0, ar_1, ar_2, ar_3 + ar_2, ar_4)) [ ar_3 <= ar_1 /\ 0 <= ar_1 /\ 1 <= i101' /\ 3 <= ar_4 /\ 0 < ar_0 /\ 1 <= ar_2 /\ 0 <= i101' /\ 0 <= ar_3 /\ ar_3 + ar_2 = i101' ]
(Comp: 1, Cost: 61) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_387(ar_0, i8', i22', i89', i4')) [ 0 <= i8' /\ static'6 <= static'5 + 3 /\ 3 <= i4' /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i89' /\ 0 < i22' /\ o25' < ar_0 /\ 1 <= i22' /\ 0 < o25' /\ 2 <= i4' /\ 0 <= static'5 /\ ar_0 <= static'5 /\ 1 <= static'4 /\ i22' <= o25' /\ 0 <= i4' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ 0 < o8' /\ i8' <= o8' /\ 0 <= static'2 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ -static'5 <= 2 /\ i89' <= o95' /\ 2 <= static'5 /\ o95' < ar_0 /\ static'1 <= static''' + 1 /\ 0 < o95' /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0
Complexity upper bound 8*ar_0 + 61
Time: 0.350 sec (SMT: 0.301 sec)
(16) BOUNDS(CONSTANT, 61 + 8 * |args|)
(17) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)
Extracted set of 97 edges for the analysis of TIME complexity. Kept leaves.
(18) Obligation:
Set of 97 edges based on JBC Program.
Performed SCC analyses:
- Used field analysis yielded the following read fields:
Considered paths: nonterm paths and paths from start to sinks
(19) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)
Transformed 97 jbc graph edges to a weighted ITS with 97 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.
(20) Obligation:
IntTrs with 97 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_33(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_34(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_34(o1, env, static) -{1,1}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 < o1
main_Load_50(o1, env, static) -{1,1}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> main_FieldAccess_55(o1, env, static) :|: 0 < o1
main_FieldAccess_55(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_57(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_59(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_59(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_61(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_61(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_111(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_111(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_120(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_120(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_125(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_156(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_156(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_197(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_197(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_211(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_211(o53, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) :|: 0 <= o53 && 2 <= i12 && 0 < a6 && 0 < o53 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_271(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && i22 <= o53 && 0 <= i22 && 0 < o53 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_271(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_299(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_299(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) :|: 0 <= a6 && 2 <= i12 && a6 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_324(a6, iconst_2, i8, i22, i12, env, static) :|: -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_324(a6, iconst_2, i8, i22, i34, env, static) -{0,0}> random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) :|: 2 <= i34 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) -{1,1}> random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && o95 < a6 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) -{1,1}> random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) -{1,1}> random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static') :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_InvokeMethod_356(o95, a6, i8, i22, iconst_3, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_356(o191, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && i89 <= o191 && 0 <= i89 && 0 <= i22 && 0 < a6 && 0 < o191 && 3 <= i34 && 0 <= i8
random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) -{1,1}> main_LE_377(a6, i22, i8, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, i98, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) :|: 1 <= i98 && 0 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 < i98 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) -{1,1}> main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) -{1,1}> main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) -{1,1}> main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8 && i89 + i98 = i101
main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) -{1,1}> main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) -{1,1}> main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) -{0,0}> main_Load_387(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i101 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
(21) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o1,
env,
static) -{23,23}>
random_ArrayAccess_70(
o1,
0,
i4',
env,
static'3) :|:
static'1 <=
static''' +
1 &&
i4' <
o1 &&
0 <=
2 &&
0 <
o1 &&
0 <=
static'2 &&
0 <=
i4' &&
static'2 <=
static'1 +
0 &&
0 <=
o1 &&
o1 <=
static'3 &&
static''' <=
static +
2 &&
0 <=
static'1 &&
static'3 <=
static'2 +
o1 &&
0 <=
static &&
-1 *
static'3 <=
0 &&
0 <=
static''' &&
0 <
2 &&
0 <=
static'3 &&
0 <=
1 &&
0 <
1by chaining
main_Load_1(
o1,
env,
static) -{0,0}>
main_Load_4(
o1,
env,
static) :|:
0 <
o1main_Load_4(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_14(
iconst_0,
o1,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ArrayCreate_14(
iconst_0,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_16(
a2,
o1,
iconst_0,
env,
static) :|:
a2 =
2 &&
iconst_0 =
0 &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_FieldAccess_16(
a2,
o1,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_17(
o1,
env,
static') :|:
0 <=
a2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_New_17(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_19(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_New_19(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_20(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1langle_clinit_rangle_New_20(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_21(
o4,
o1,
env,
static) :|:
o4 =
1 &&
0 <
o4 &&
0 <
o1langle_clinit_rangle_Duplicate_21(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_24(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_24(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_26(
o4,
NULL,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o4 &&
0 <
o1langle_clinit_rangle_InvokeMethod_26(
o4,
NULL,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_27(
o4,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o4 &&
0 <
o1langle_init_rangle_Load_27(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_28(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_InvokeMethod_28(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_29(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Load_29(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_30(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_InvokeMethod_30(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_31(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Return_31(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_32(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Return_32(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_33(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_clinit_rangle_FieldAccess_33(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Return_34(
o1,
env,
static') :|:
0 <=
o4 &&
0 <
o4 &&
0 <=
static &&
0 <
o1 &&
static' <=
static +
o4langle_clinit_rangle_Return_34(
o1,
env,
static) -{1,1}>
main_Load_42(
o1,
env,
static) :|:
0 <
o1main_Load_42(
o1,
env,
static) -{0,0}>
main_Load_44(
o1,
env,
static) :|:
0 <
o1main_Load_44(
o1,
env,
static) -{0,0}>
main_Load_47(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1main_Load_47(
o1,
env,
static) -{0,0}>
main_Load_49(
o1,
env,
static) :|:
0 <
o1main_Load_49(
o1,
env,
static) -{0,0}>
main_Load_50(
o1,
env,
static) :|:
0 <
o1main_Load_50(
o1,
env,
static) -{1,1}>
main_FieldAccess_53(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_53(
o1,
env,
static) -{0,0}>
main_FieldAccess_55(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_55(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_57(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_57(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_59(
iconst_0,
o1,
NULL,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_FieldAccess_59(
iconst_0,
o1,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_61(
o1,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0 &&
0 <
o1langle_clinit_rangle_Return_61(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_64(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1main_FieldAccess_64(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_65(
o1,
iconst_0,
env,
static') :|:
static' <=
static +
o1 &&
NULL =
0 &&
0 <=
o1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1main_InvokeMethod_65(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_66(
o1,
iconst_0,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1random_FieldAccess_66(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_67(
o1,
iconst_0,
env,
static) :|:
0 <=
o1 &&
o1 <=
static &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1random_FieldAccess_67(
o1,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_69(
o1,
iconst_0,
env,
static) :|:
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
static &&
0 <
o1random_ArrayAccess_69(
a6,
iconst_0,
env,
static) -{0,0}>
random_ArrayAccess_70(
a6,
iconst_0,
i4,
env,
static) :|:
0 <=
i4 &&
iconst_0 =
0 &&
0 <
a6 &&
i4 <
a6obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_111(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
obtained
random_InvokeMethod_111(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
by chaining
random_InvokeMethod_111(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_120(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_120(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_125(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_156(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_156(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_197(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_197(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_211(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
obtained
random_InvokeMethod_211(o53, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53
by chaining
random_InvokeMethod_211(o53, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) :|: 0 <= o53 && 2 <= i12 && 0 < a6 && 0 < o53 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_271(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && i22 <= o53 && 0 <= i22 && 0 < o53 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_271(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_299(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_299(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) :|: 0 <= a6 && 2 <= i12 && a6 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_324(a6, iconst_2, i8, i22, i12, env, static) :|: -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
obtained
random_ArrayAccess_324(a6, 2, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
by chaining
random_ArrayAccess_324(a6, iconst_2, i8, i22, i34, env, static) -{0,0}> random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) :|: 2 <= i34 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) -{1,1}> random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && o95 < a6 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) -{1,1}> random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) -{1,1}> random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static') :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_InvokeMethod_356(o95, a6, i8, i22, iconst_3, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
random_InvokeMethod_356(o191, a6, i8, i22, 3, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191
by chaining
random_InvokeMethod_356(o191, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && i89 <= o191 && 0 <= i89 && 0 <= i22 && 0 < a6 && 0 < o191 && 3 <= i34 && 0 <= i8
random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) -{1,1}> main_LE_377(a6, i22, i8, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
main_LE_377(a6, i98, i8, i89, 3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98
by chaining
main_LE_377(a6, i98, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) :|: 1 <= i98 && 0 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 < i98 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98
by chaining
main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
main_LT_395(a6, i8, i89, i98, 3, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101'
by chaining
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) -{1,1}> main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) -{1,1}> main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) -{1,1}> main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8 && i89 + i98 = i101
main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) -{1,1}> main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) -{1,1}> main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) -{0,0}> main_Load_387(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i101 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
(22) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_111(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_211(o53, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_324(a6, 2, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_356(o191, a6, i8, i22, 3, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, i98, i8, i89, 3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, 3, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101'
(23) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from lhss to constraints.
main_LE_377(a6, i98, i8, i89, 3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98
was transformed to
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
random_ArrayAccess_324(a6, 2, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
was transformed to
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_InvokeMethod_356(o191, a6, i8, i22, 3, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191
was transformed to
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_211(o53, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53
was transformed to
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_InvokeMethod_111(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
was transformed to
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
main_LT_395(a6, i8, i89, i98, 3, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101'
was transformed to
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98
was transformed to
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
(24) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(25) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Linearized lhss.
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(26) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(27) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, 2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
was transformed to
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(0, a6, i8, i22, 3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
was transformed to
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i89 + i98, 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
was transformed to
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, 0, i8, i89, 3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
was transformed to
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, 3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(28) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, 2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(0, a6, i8, i22, 3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i89 + i98, 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, 0, i8, i89, 3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, 3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(29) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
was transformed to
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
was transformed to
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && x = 3
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
was transformed to
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && x = 1
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
was transformed to
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 < o53 && x = 2
(30) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, 0, i8, i89, 3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 < o53 && x = 2
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i89 + i98, 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && x = 1
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(0, a6, i8, i22, 3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && x = 3
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && x = 3
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, 2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, 3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(31) JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID) transformation)
Transformed 97 jbc graph edges to a weighted ITS with 97 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.
(32) Obligation:
IntTrs with 97 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_24(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_24(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_29(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_30(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_32(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_33(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_34(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_34(o1, env, static) -{1,1}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_47(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_47(o1, env, static) -{0,0}> main_Load_49(o1, env, static) :|: 0 < o1
main_Load_49(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 < o1
main_Load_50(o1, env, static) -{1,1}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> main_FieldAccess_55(o1, env, static) :|: 0 < o1
main_FieldAccess_55(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_57(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_57(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_59(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_59(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_61(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_61(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_111(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_111(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_120(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_120(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_125(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_156(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_156(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_197(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_197(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_211(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_211(o53, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) :|: 0 <= o53 && 2 <= i12 && 0 < a6 && 0 < o53 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_271(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && i22 <= o53 && 0 <= i22 && 0 < o53 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_271(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_299(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_299(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) :|: 0 <= a6 && 2 <= i12 && a6 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_324(a6, iconst_2, i8, i22, i12, env, static) :|: -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_324(a6, iconst_2, i8, i22, i34, env, static) -{0,0}> random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) :|: 2 <= i34 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) -{1,1}> random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && o95 < a6 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) -{1,1}> random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) -{1,1}> random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static') :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_InvokeMethod_356(o95, a6, i8, i22, iconst_3, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_356(o191, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && i89 <= o191 && 0 <= i89 && 0 <= i22 && 0 < a6 && 0 < o191 && 3 <= i34 && 0 <= i8
random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) -{1,1}> main_LE_377(a6, i22, i8, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, i98, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) :|: 1 <= i98 && 0 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 < i98 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) -{1,1}> main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) -{1,1}> main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) -{1,1}> main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8 && i89 + i98 = i101
main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) -{1,1}> main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) -{1,1}> main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) -{0,0}> main_Load_387(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i101 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
(33) StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
obtained
main_Load_1(
o1,
env,
static) -{23,23}>
random_ArrayAccess_70(
o1,
0,
i4',
env,
static'3) :|:
static'1 <=
static''' +
1 &&
i4' <
o1 &&
0 <=
2 &&
0 <
o1 &&
0 <=
static'2 &&
0 <=
i4' &&
static'2 <=
static'1 +
0 &&
0 <=
o1 &&
o1 <=
static'3 &&
static''' <=
static +
2 &&
0 <=
static'1 &&
static'3 <=
static'2 +
o1 &&
0 <=
static &&
-1 *
static'3 <=
0 &&
0 <=
static''' &&
0 <
2 &&
0 <=
static'3 &&
0 <=
1 &&
0 <
1by chaining
main_Load_1(
o1,
env,
static) -{0,0}>
main_Load_4(
o1,
env,
static) :|:
0 <
o1main_Load_4(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_ConstantStackPush_6(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ArrayCreate_14(
iconst_0,
o1,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ArrayCreate_14(
iconst_0,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_16(
a2,
o1,
iconst_0,
env,
static) :|:
a2 =
2 &&
iconst_0 =
0 &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_FieldAccess_16(
a2,
o1,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_New_17(
o1,
env,
static') :|:
0 <=
a2 &&
iconst_0 =
0 &&
static' <=
static +
a2 &&
0 <=
static &&
0 <
a2 &&
0 <
o1langle_clinit_rangle_New_17(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_19(
o1,
env,
static) :|:
0 <
o1langle_clinit_rangle_New_19(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_New_20(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1langle_clinit_rangle_New_20(
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Duplicate_21(
o4,
o1,
env,
static) :|:
o4 =
1 &&
0 <
o4 &&
0 <
o1langle_clinit_rangle_Duplicate_21(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_ConstantStackPush_24(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_24(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_InvokeMethod_26(
o4,
NULL,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o4 &&
0 <
o1langle_clinit_rangle_InvokeMethod_26(
o4,
NULL,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_27(
o4,
o1,
env,
static) :|:
NULL =
0 &&
0 <
o4 &&
0 <
o1langle_init_rangle_Load_27(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_28(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_InvokeMethod_28(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Load_29(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Load_29(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_InvokeMethod_30(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_InvokeMethod_30(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_31(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Return_31(
o4,
o1,
env,
static) -{1,1}>
langle_init_rangle_Return_32(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_init_rangle_Return_32(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_33(
o4,
o1,
env,
static) :|:
0 <
o4 &&
0 <
o1langle_clinit_rangle_FieldAccess_33(
o4,
o1,
env,
static) -{1,1}>
langle_clinit_rangle_Return_34(
o1,
env,
static') :|:
0 <=
o4 &&
0 <
o4 &&
0 <=
static &&
0 <
o1 &&
static' <=
static +
o4langle_clinit_rangle_Return_34(
o1,
env,
static) -{1,1}>
main_Load_42(
o1,
env,
static) :|:
0 <
o1main_Load_42(
o1,
env,
static) -{0,0}>
main_Load_44(
o1,
env,
static) :|:
0 <
o1main_Load_44(
o1,
env,
static) -{0,0}>
main_Load_47(
o1,
env,
static) :|:
0 <=
static &&
0 <
o1main_Load_47(
o1,
env,
static) -{0,0}>
main_Load_49(
o1,
env,
static) :|:
0 <
o1main_Load_49(
o1,
env,
static) -{0,0}>
main_Load_50(
o1,
env,
static) :|:
0 <
o1main_Load_50(
o1,
env,
static) -{1,1}>
main_FieldAccess_53(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_53(
o1,
env,
static) -{0,0}>
main_FieldAccess_55(
o1,
env,
static) :|:
0 <
o1main_FieldAccess_55(
o1,
env,
static) -{0,0}>
langle_clinit_rangle_ConstantStackPush_57(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_ConstantStackPush_57(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
langle_clinit_rangle_FieldAccess_59(
iconst_0,
o1,
NULL,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1langle_clinit_rangle_FieldAccess_59(
iconst_0,
o1,
NULL,
env,
static) -{1,1}>
langle_clinit_rangle_Return_61(
o1,
NULL,
iconst_0,
env,
static') :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <=
static &&
static' <=
static +
iconst_0 &&
0 <
o1langle_clinit_rangle_Return_61(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_FieldAccess_64(
o1,
NULL,
iconst_0,
env,
static) :|:
NULL =
0 &&
iconst_0 =
0 &&
0 <
o1main_FieldAccess_64(
o1,
NULL,
iconst_0,
env,
static) -{1,1}>
main_InvokeMethod_65(
o1,
iconst_0,
env,
static') :|:
static' <=
static +
o1 &&
NULL =
0 &&
0 <=
o1 &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1main_InvokeMethod_65(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_66(
o1,
iconst_0,
env,
static) :|:
iconst_0 =
0 &&
0 <
o1random_FieldAccess_66(
o1,
iconst_0,
env,
static) -{1,1}>
random_FieldAccess_67(
o1,
iconst_0,
env,
static) :|:
0 <=
o1 &&
o1 <=
static &&
iconst_0 =
0 &&
0 <=
static &&
0 <
o1random_FieldAccess_67(
o1,
iconst_0,
env,
static) -{1,1}>
random_ArrayAccess_69(
o1,
iconst_0,
env,
static) :|:
-1 *
static <=
iconst_0 &&
iconst_0 =
0 &&
0 <=
static &&
iconst_0 <=
static &&
0 <
o1random_ArrayAccess_69(
a6,
iconst_0,
env,
static) -{0,0}>
random_ArrayAccess_70(
a6,
iconst_0,
i4,
env,
static) :|:
0 <=
i4 &&
iconst_0 =
0 &&
0 <
a6 &&
i4 <
a6obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_111(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
obtained
random_InvokeMethod_111(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
by chaining
random_InvokeMethod_111(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_114(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_120(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_120(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_125(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_125(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_130(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_137(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_156(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_156(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_160(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_186(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_197(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_197(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_211(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
obtained
random_InvokeMethod_211(o53, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53
by chaining
random_InvokeMethod_211(o53, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) :|: 0 <= o53 && 2 <= i12 && 0 < a6 && 0 < o53 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_256(o53, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_271(i22, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && i22 <= o53 && 0 <= i22 && 0 < o53 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_271(i22, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_299(a6, i22, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_299(a6, i22, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_309(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_314(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) :|: 0 <= a6 && 2 <= i12 && a6 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_321(a6, i8, i22, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_324(a6, iconst_2, i8, i22, i12, env, static) :|: -1 * static <= iconst_2 && 2 <= i12 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
obtained
random_ArrayAccess_324(a6, 2, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
by chaining
random_ArrayAccess_324(a6, iconst_2, i8, i22, i34, env, static) -{0,0}> random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) :|: 2 <= i34 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_329(a6, iconst_2, i8, i22, i34, env, static) -{1,1}> random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && o95 < a6 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_Store_334(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_337(o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && iconst_2 <= static && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_342(iconst_2, o95, a6, i8, i22, i34, env, static) -{1,1}> random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) :|: 0 <= o95 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_346(iconst_2, iconst_1, o95, a6, i8, i22, i34, env, static) -{1,1}> random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && iconst_1 = 1 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_348(iconst_3, o95, a6, i8, i22, iconst_2, i34, env, static) -{1,1}> random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static') :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 <= static && 0 < a6 && 3 <= i34 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_352(o95, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_InvokeMethod_356(o95, a6, i8, i22, iconst_3, i34, env, static) :|: 0 <= o95 && iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
random_InvokeMethod_356(o191, a6, i8, i22, 3, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191
by chaining
random_InvokeMethod_356(o191, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_359(o191, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && i89 <= o191 && 0 <= i89 && 0 <= i22 && 0 < a6 && 0 < o191 && 3 <= i34 && 0 <= i8
random_Return_364(i89, a6, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Store_369(a6, i89, i8, i22, iconst_3, i34, env, static) -{1,1}> main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_373(a6, i8, i22, i89, iconst_3, i34, env, static) -{1,1}> main_LE_377(a6, i22, i8, i89, iconst_3, i34, env, static) :|: iconst_3 = 3 && 0 <= i89 && 0 <= i22 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
main_LE_377(a6, i98, i8, i89, 3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98
by chaining
main_LE_377(a6, i98, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) :|: 1 <= i98 && 0 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_383(a6, i98, i8, i89, iconst_3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 < i98 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98
by chaining
main_Load_387(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_391(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
obtained
main_LT_395(a6, i8, i89, i98, 3, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101'
by chaining
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_404(a6, i8, i89, i98, iconst_3, i34, env, static) -{1,1}> main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) :|: 1 <= i98 && i89 <= i8 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_434(a6, i8, i98, i89, iconst_3, i34, env, static) -{1,1}> main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_457(a6, i89, i8, i98, iconst_3, i34, env, static) -{1,1}> main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_IntArithmetic_464(a6, i89, i98, i8, iconst_3, i34, env, static) -{1,1}> main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8 && i89 + i98 = i101
main_Store_468(a6, i101, i8, i98, iconst_3, i34, env, static) -{1,1}> main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_JMP_473(a6, i8, i98, i101, iconst_3, i34, env, static) -{1,1}> main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
main_Load_485(a6, i8, i98, i101, iconst_3, i34, env, static) -{0,0}> main_Load_387(a6, i8, i98, i101, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && 0 <= i101 && 1 <= i101 && 0 < a6 && 3 <= i34 && 0 <= i8
(34) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_111(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_211(o53, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_324(a6, 2, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_356(o191, a6, i8, i22, 3, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, i98, i8, i89, 3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, 3, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101'
(35) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from lhss to constraints.
main_LE_377(a6, i98, i8, i89, 3, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98
was transformed to
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
random_ArrayAccess_324(a6, 2, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3
was transformed to
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_InvokeMethod_356(o191, a6, i8, i22, 3, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191
was transformed to
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_211(o53, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53
was transformed to
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_InvokeMethod_111(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
was transformed to
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
main_LT_395(a6, i8, i89, i98, 3, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101'
was transformed to
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_387(a6, i8, i98, i89, 3, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98
was transformed to
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
(36) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(37) LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Linearized lhss.
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_324(a6, iconst_2, i8, i22, iconst_2, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
(38) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(39) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Moved arithmethic from constraints to rhss.
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, iconst_2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, 2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(NULL, a6, i8, i22, iconst_3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
was transformed to
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(0, a6, i8, i22, 3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i101', 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
was transformed to
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i89 + i98, 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, iconst_0, i8, i89, iconst_3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
was transformed to
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, 0, i8, i89, 3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, iconst_3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
was transformed to
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, 3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(40) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, 2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(0, a6, i8, i22, 3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i89 + i98, 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, 0, i8, i89, 3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, 3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8
(41) ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)
Simplified expressions.
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && 0 <= i98 && x = 3
was transformed to
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && x = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && 0 <= o191 && x = 3
was transformed to
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && x = 3
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
was transformed to
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && x = 1
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: 0 <= a6 && a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 <= o53 && 0 < o53 && x = 2
was transformed to
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 < o53 && x = 2
(42) Obligation:
IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_387(a6, i8, i98, i89, x, i34, env, static) -{2,2}> main_LT_395(a6, i8, i89, i98, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 1 <= i98 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_211(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_377(a6, iconst_0, i8, i89, iconst_3, i34, env, static) -{0,0}> main_LE_382(a6, 0, i8, i89, 3, i34, env, static) :|: 0 <= iconst_0 && iconst_3 = 3 && 0 <= i89 && iconst_0 = 0 && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_73(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_211(o53, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_324(a6, 2, i8, i22', i12, env, static) :|: a6 <= static && 0 <= i8 && i22' <= o53 && 0 < a6 && 0 <= i22' && 0 <= static && 2 <= i12 && 2 <= static && -1 * static <= 2 && 0 < o53 && x = 2
random_InvokeMethod_111(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_115(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LT_395(a6, i8, i89, i98, x, i34, env, static) -{6,6}> main_Load_387(a6, i8, i98, i89 + i98, 3, i34, env, static) :|: 1 <= i101' && 0 <= i8 && 0 <= i89 && 3 <= i34 && 0 < a6 && 1 <= i98 && 0 <= i101' && i89 <= i8 && i89 + i98 = i101' && x = 3
random_InvokeMethod_111(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && x = 1
random_InvokeMethod_211(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_257(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_356(NULL, a6, i8, i22, iconst_3, i34, env, static) -{0,0}> random_InvokeMethod_360(0, a6, i8, i22, 3, i34, env, static) :|: NULL = 0 && iconst_3 = 3 && 0 <= i22 && 0 <= NULL && 0 < a6 && 3 <= i34 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_356(o191, a6, i8, i22, x, i34, env, static) -{4,4}> main_LE_377(a6, i22, i8, i89', 3, i34, env, static) :|: i89' <= o191 && 0 <= i8 && 0 <= i89' && 3 <= i34 && 0 <= i22 && 0 < a6 && 0 < o191 && x = 3
random_ArrayAccess_324(a6, x, i8, i22, i34, env, static) -{7,7}> random_InvokeMethod_356(o95', a6, i8, i22, 3, i34, env, static'6) :|: 2 <= i34 && 0 <= i8 && 0 <= i22 && 3 <= i34 && 0 <= static && 0 < a6 && 0 <= o95' && o95' < a6 && -1 * static <= 2 && 2 <= static && static'6 <= static + 3 && x = 2
main_LE_377(a6, i98, i8, i89, x, i34, env, static) -{1,1}> main_Load_387(a6, i8, i98, i89, 3, i34, env, static) :|: 0 <= i8 && 3 <= i34 && 0 < a6 && 0 <= i89 && 0 < i98 && 1 <= i98 && x = 3
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_111(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_324(a6, iconst_2, i8, i22, x, env, static) -{0,0}> random_ArrayAccess_328(a6, 2, i8, i22, env, static) :|: 0 <= i22 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
main_LT_395(a6, i8, i89, i98, iconst_3, i34, env, static) -{0,0}> main_LT_403(a6, i8, i89, i98, 3, i34, env, static) :|: 1 <= i98 && iconst_3 = 3 && i8 < i89 && 0 <= i89 && 0 < a6 && 3 <= i34 && 0 <= i8